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LEVI–CIVITA SPACETIMES IN MULTIDIMENSIONAL THEORIES

J. PONCE DE LEON

Laboratory of Theoretical Physics, Department of Physics, University of Puerto Rico, P. O. Box 23343, San Juan, PR 00931, USA

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https://doi.org/10.1142/S0217732309031004Cited by:6 (Source: Crossref)

Abstract

We obtain the most general static cylindrically symmetric vacuum solutions of the Einstein field equations in (4 + N) dimensions. Under the assumption of separation of variables, we construct a family of Levi–Civita–Kasner vacuum solutions in (4 + N) dimensions. We discuss the dimensional reduction of the static solutions. Depending on the reduction procedure, they can be interpreted either as a scalar-vacuum generalization of Levi–Civita spacetimes, or as the effective 4D vacuum spacetime outside of an idealized string in braneworld theory.

Keywords:

PACS: 04.50.+h, 04.20.Cv

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